20966800 has 120 divisors (see below), whose sum is σ = 54800064. Its totient is φ = 7687680.

The previous prime is 20966791. The next prime is 20966809. The reversal of 20966800 is 866902.

It is an interprime number because it is at equal distance from previous prime (20966791) and next prime (20966809).

It is not an unprimeable number, because it can be changed into a prime (20966809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395574 + ... + 395626.

Almost surely, 2^20966800 is an apocalyptic number.

20966800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27400032).

20966800 is an abundant number, since it is smaller than the sum of its proper divisors (33833264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20966800 is a wasteful number, since it uses less digits than its factorization.

20966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20966800 is about 4578.9518451279. The cubic root of 20966800 is about 275.7469500272.

The spelling of 20966800 in words is "twenty million, nine hundred sixty-six thousand, eight hundred".